So if you have a red part of the image, like a rectangle, in the tiff file, you would clip the shp polygons to the extent of the red part.
Hmmmm...I'm thinking the following steps "may" work.
Good luck!
I'm not sure if the raster is in integer form, it only says Red: Band_1, Green: Band_2, Blue: Band_3. When I open the Extract by Attributes to under values there is nothing to select. Is there a way to convert to an integer dataset?
There's an Int GP tool that would convert a floating point raster to an integer raster - could be worth experimenting with it to see if it accomplishes what you need.